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Speed, Time and Distance - February 23, 2004
The GMAT Sample Math question for the day is from the topic Speed, Time and Distance.
Question
Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Jim's travel in mph?
A. 42 mph
B. 36 mph
C. 37.5 mph
D. 42.5 mph
E. 48 mph
The correct choice is (C) and the correct answer is 37.5 mph.
Explanatory Answer
Average speed = 
Total distance traveled by Jim = Distance covered in the first 3 hours + Distance covered in the next 5 hours.
Distance covered in the first 3 hours = 3 * 60 = 180 miles
Distance covered in the next 5 hours = 5 * 24 = 120 miles
Therefore, total distance traveled = 180 + 120 = 300 miles.
Total time taken = 3 + 5 = 8 hours.
Average speed = = 37.5 mph.
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